Naomi paints 16.5 square feet of a mural at a rate of 2 square feet per hour clair paints 7.5 square feet of the mural at a rate of 4 square feet per hour if they continue at the same rates how many more hours will it take for naomi and clair to paint an equal number of square feet

It will take 4.5 hours for Naomi and Clair to paint an equal number of square feet

Explanation:

 Let the time in hour it will take for Naomi and Clair to paint an equal number of square feet be t hours.

Naomi paints 16.5 square feet of a mural at a rate of 2 square feet per hour, so after t hours the are painted by Naomi = 16.5 + 2 * t

Clair paints 7.5 square feet of the mural at a rate of 4 square feet per hour, so after t hours the are painted by Clair = 7.5 + 4 * t

We know that after hours the area painted by them are equal, so we have

           16.5 + 2 * t = 7.5 + 4 * t

            2 * t = 16.5 - 7.5 = 9

                t = 4.5 hours.

  So it will take 4.5 hours for Naomi and Clair to paint an equal number of square feet.                          

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step-by-step explanation:

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arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: